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Wang, Xiaolu. A Bivariant Chern Character, II. Canadian journal of mathematics, Tome 44 (1992) no. 2, pp. 400-435. doi: 10.4153/CJM-1992-027-3
@article{10_4153_CJM_1992_027_3,
author = {Wang, Xiaolu},
title = {A {Bivariant} {Chern} {Character,} {II}},
journal = {Canadian journal of mathematics},
pages = {400--435},
year = {1992},
volume = {44},
number = {2},
doi = {10.4153/CJM-1992-027-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1992-027-3/}
}
[Arv] Arveson, W., The harmonie analysis of automorphism groups, Operator algebras and applications, Proc. Symposia Pure Math. 38(1982), Part I, 199–269. Google Scholar
[B-D-F] Brown, L.G., Douglas, R. and Fillmore, P.A., Extensions of C* -algebras and K-homology, Ann. of Math. (2) 105(1977), 265–324. Google Scholar
[Bou] Bourbaki, N., Algèbre, Chap. 10: Algèbre homologique, 1970. Google Scholar
[Bur] Burghelea, D., Cyclic homology and algebraic K-theory of topological spaces 1, Boulder Conference on Algebraic AT-theory (1983), Contemp. Math. 55 Part I, 1986. Google Scholar
[Bus] Busby, R.C., Double centralizers and extensions of C* -algebras, Trans. Amer. Math. Soc. 132(1968), 79–99. Google Scholar
[C-E] Cartan, H. and Eilenberg, S., Homological Algebra, Princeton University Press, 1956. Google Scholar
[C-E-S] Christensen, E., Effros, E.G. and Sinclair, A., Completely bounded multilinear maps and C* -algebras, Invent. Math., 90(1987), 279–296. Google Scholar
[Conl] Connes, A., C*-algèbres et géométrie différentielle, Acad C.R. Sci. Paris 290(1980), 599–604. Google Scholar
[Con2] Connes, A., The Chern character in K-homology, Noncommutative Differential Geometry, I, Publ. IHES 62(1985), 41–144. Google Scholar
[Con3] ,Cohomologie cyclique et fondeurs Extn, C.R.Acad. Sci. Paris 296(1983), 953–958. Google Scholar
[Co-Cu] Connes, A. and Cuntz, J., Quasihomomorphismes, cohomologie cyclique etpositivité, Commun. Math. Phys. 114(1988), 515–526. Google Scholar
[Co-Kl] Connes, A. and Karoubi, M., Caractère multiplicatif d'un module de Fredholm, Acad C.R. Sci. Paris 299(1984), 963–968. Google Scholar
[Co-K2] Connes, A. and Karoubi, M., Caractère multiplicatif d'un module de Fredholm, k-theory, (1988). Google Scholar
[Cunl] Cuntz, J., Generalized homomorphisms between C*-algebras and KK-theory, Proc. of Math.-Phys. Conf. (ZIF Bielefeld 1981), Springer Lecture Notes in Math. 1031, 180–195. Google Scholar
[Cun2] Cuntz, J., Anew look at KK-theory, k-theory (1987). Google Scholar
[D-H-K] Douglas, R.G., Hurder, S. and Kaminker, J., Toeplitz operators and thêta-invariant: the case of S1, Contemporary Math. A.M.S. 19(1988), 11–41. Google Scholar
[E] Effros, E.G., Advances in quantized functional analyis, Proc. I.C.M. 1986, 906–916. Google Scholar
[E-K] Effros, E.G. and Kishimoto, Module maps and Hoschschild-Johnson cohomology, Indiana J. Math, to appear. Google Scholar
[E-N-N] Elliott, G.A., Natsume, T. and R. Nest, Cyclic cohomologyfor one-parameter smooth crossed products. Acta Math. 160(1988), 285–305. Google Scholar
[E-S] Getzler, E. and Szenes, A., On the Chern character of a theta-summable Fredholm module, preprint. Google Scholar
[F-W] Farrell, F.T. and Wagoner, J.B., Infinite matrices in algebraic K-theory and topology, Comment. Math. Helvet. 47(1972), 474–501. Google Scholar
[Gl] Goodwillie, T., Cyclic homology and the free loopspace, Topology 24(1985), 187–215. Google Scholar
[G2] Goodwillie, T., Relative algebraic K-theory and cyclic homology, Ann. of Math. 24(1986), 347–402. Google Scholar
[Gro] Grothendieck, A., Produits tensoriels topologiques et espaces nucléaires, Mem. Amer. Math. Soc. 16(1955). Google Scholar
[Hig] Higson, N.,A characterization of KK-theory Pacific! of Math 126(1987), 253–276. Google Scholar
[H-J] Hood, C.E. and S, J.D.. Jones, Some algebraic properties of cyclic homology groups, A'-theory (1987) 361–384. Google Scholar
[J-K] Jones, J. and Kassel, C., Bivariant cyclic theory, (Aug. 1988), to appear in AT-theory. Google Scholar
[Kar] Karoubi, M., Homologie cyclique et K-théorie algébrique, I et II, C.R. Acad. Sci. Paris 297(1983), 447- 450 et 513–516. Google Scholar
[Kaspl] Kasparov, G.G., Hilbert C*-modules: Theorems of Stinespring and Voiculescu, J. Operator Theory 4(1980), 133–150. Google Scholar
[Kasp2] Kasparov, G.G.,K-functor and extensions of C*-algebras Izv. Akad. Nauk SSSR. Ser. Math 44(1980), 571- 636. Google Scholar
[Kassl] Kassel, C., Cyclic homology, comodules, and mixed complexes, J. of Algebra 107(1987), 195–216. Google Scholar
[Kass2] Kassel, C., L'homologie cyclique des algébres enveloppantes, Invent. Math. 91(1988), 221–251. Google Scholar
[Kass3] Kassel, C., K-théorie algébrique et cohomologie cyclique bivariante, C.R. Acad. Sci. Paris 306(1988), 799–802. Google Scholar
[Kass4] Kassel, C., Caractère de Chern bivariant, Max Planck Institut, Bonn, Preprint December 1988. Google Scholar
[L-Q] Loday, J.L. and Quillen, D., Cyclic homology and the Lie algebra homology of matrices, Comment Math. Helvetia 59(1984), 565–591. Google Scholar
[Macl] MacLane, S., Homology, Springer-Verlag, 1975. Google Scholar
[Mac2] MacLane, S., Categories for the Working Mathematician, Springer-Verlag, 1971. Google Scholar
[R] Ruan, Z., Subspaces of C*-algebras, J. Funct. Anal. 76(1988), 217–230. Google Scholar
[Sim] Simon, B., Trace ideals and their applications, London Math. Soc. Lecture Notes 35, Cambridge University Press, 1979. Google Scholar
[Ts] Tsygan, B.L., Homology of matrix Lie algebras over rings and Hochschild homology, Uspekhi Math. Nauk. 2 38(1983), 198–199. Google Scholar
[Wl] Wang, X., Bivariant Chern Character I, preprint, May 1988; Proc. A.M.S. Summer Institute at New Hampshire, Proc. Symposia Pure Math. (2) 51(1990), 355–360. Google Scholar
[W2] Wang, X., Talk at AMS Summer Institute at Bowdoin College, Maine, Aug. 1988. Google Scholar
[W3] Wang, X., KK-theoryfor topological algebras, k-theory, 5(1991), 97–150. Google Scholar
[W4] Wang, X., Ext-theoryfor topological algebras, in preparation. Google Scholar
[Wodl] Wodzicki, M., The long exact sequence in cyclic homology associated with an extension of algebras, C.R. Acad. Sci. Paris 306(1988), 399–403. Google Scholar
[Wod2] Wodzicki, M., Excision in cyclic homology and in rational algebraic K-theory, Annals of Math., 129(1989) 591–639. Google Scholar
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